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Question

A survey was conducted to see whether age has an association with the belief that a master’s degree or higher provides an advantage in one’s career. Of the 524 adults between the ages of 22 and 25 surveyed, 56% believed that a master’s degree has value in a person’s career path. Of the 458 adults surveyed between the ages of 40 and 45, 52% also believed that a master’s degree has value in a person’s career path. Assuming age is not associated with this belief, the probability of the data being the result of chance is calculated to be 0.21. Interpret this calculation.

Select the correct answer below:

We can expect 56% of all adults between the ages of 22 and 25 to believe a master’s degree or higher provides an advantage in one’s career.

The data is statistically significant at the 0.05 level of significance in showing that age has an association with the belief that a master’s degree or higher provides an advantage in one’s career.

Age does not have any association with the belief that a master’s degree or higher provides an advantage in one’s career.

The data are not statistically significant at the 0.05 level of significance in showing that age has an association with the belief that a master’s degree or higher provides an advantage in one’s career.

Question

A recent study was conducted to determine the concentration of lead in drinking water across various states. 25 water samples from the state of Washington were tested; the mean lead concentration was found to be 0.15%. This compares to 32 water samples in the state of Minnesota where the mean was reported to be 0.21%. The data was calculated to be significant at the 0.0001 level. Determine the meaning of this significance level.

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